Answered

Connect with experts and get insightful answers to your questions on IDNLearn.com. Join our knowledgeable community and access a wealth of reliable answers to your most pressing questions.

If the equation ar+b=cr + d has no solution, like in the example below, what must be true about a b c and d?

Sagot :

VectorFundament120idn

Answer:

See below.

Step-by-step explanation:

For an equation like [tex]\displaystyle \large{ar+b=cr+d}[/tex] to have no solution, the equation has to be false.

To make an equation false, we let a = c. That’d make a and c have same value, when we transport cr to subtract ar, we’ll get 0.

So if a = c, the equation is [tex]\displaystyle \large{b=d}[/tex] now that we have b = d. The equation has to be false to have no solutions, hence b and d must not equal to one another.

Summary

  • When a = c, the new equation is b = d as ar and cr having same value, when subtracted, the remain is 0+b=d.
  • b = d means that the value of b and d are equal but that makes the solutions to be infinitely many. Therefore, we cannot let b = d.
  • From second, b ≠ d.
  • a = c but b ≠ d

Let me know if you have any questions regarding this question or for clarification.

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.